Answer: [tex]427.6624\pi\text{ square meters}[/tex]
Step-by-step explanation:
Given: The volume of sphere = [tex]1,476\pi \text{meters}[\tex]
The volume of sphere is given by :-
[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.
[tex]\dfrac{4}{3}\pi r^3=1476\pi\\\\\Rightarrow\ r^3=\dfrac{1476\times3}{4}\\\\\Rightarrow\ r^3=1107\\\\\Rightarrow\ r=(1107)^{\frac{1}{3}}\\\\\Rightarrow\ r=10.3446517211\approx10.34[/tex]
Surface area of sphere is given by :-
[tex]S.A.=4\pi r^2\\\\\Rightarrow\ S.A. =4\pi(10.34)^2\\\\\Rightarrow\ S.A. =427.6624\pi\text{ square meters}[/tex]
